Question

Solve the following equation and also check your result:
\[\frac{7}{2}x - \frac{5}{2}x = \frac{20}{3}x + 10\]

Answer 1

\[\frac{7}{2}x - \frac{5}{2}x = \frac{20}{3}x + 10\]
\[\text{ or }\frac{7x - 5x}{2} = \frac{20x + 30}{3}\]
\[\text{ or }40x + 60 = 6x\]
\[\text{ or }34x = - 60\]
\[\text{ or }x = - \frac{60}{34} = - \frac{30}{17}\]
Check:
\[\text{ L . H . S .} = \frac{7}{2} \times \frac{- 30}{17} - \frac{5}{2} \times - \frac{30}{17} = - \frac{30}{17}\]
\[\text{ R . H . S . }= \frac{20}{3} \times \frac{- 30}{17} + 10 = - \frac{30}{17}\]
\[ \therefore \text{ L . H . S . = R . H . S . for }x = - \frac{30}{17}\]